Engineering Theory & Mathematical Model
Two identical 12V/12W lamps (each 12 Ω) wired in series present a combined resistance of 24 Ω to a 12V supply, drawing 0.5 A. Each series lamp drops only 6V and dissipates P = 6V × 0.5A = 3W — just one-quarter of its rated 12W glow! Meanwhile, the parallel branch receives the full 12V rail independently, drawing 1.0 A and glowing at 100% rated 12W brightness.
Interactive Lab Procedure
- Compare the visual filament glow Halo of the two dim series lamps on the left versus the bright parallel lamp on the right.
- Open either branch switch independently to verify that parallel loads continue running uninterrupted.
- Hover over each lamp to verify exact 3.00 W vs 12.00 W power dissipation.
Technical FAQ
What is the core governing formula for Series vs. Parallel Lamps Circuit Simulator?
P_parallel = V² / R = 12 W, P_series_each = (V/2)² / R = 3 W — Two identical 12V/12W lamps (each 12 Ω) wired in series present a combined resistance of 24 Ω to a 12V supply, drawing 0.5 A. Each series lamp drops only 6V and dissipates P = 6V × 0.5A = 3W — just one-quarter of its rated 12W glow! Meanwhile, the parallel branch receives the full 12V rail independently, drawing 1.0 A and glowing at 100% rated 12W brightness.
Can I modify component values and rewire this circuit live?
Yes! The schematic above runs a live MNA SPICE engine. Click any part to adjust parameters, add or delete wires and components, and click Share URL to save your custom topology.